13735680 has 216 divisors, whose sum is σ = 51729552. Its totient is φ = 3096576.

The previous prime is 13735679. The next prime is 13735693. The reversal of 13735680 is 8653731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188124 + ... + 188196.

Almost surely, 2^13735680 is an apocalyptic number.

13735680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25864776).

13735680 is an abundant number, since it is smaller than the sum of its proper divisors (37993872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13735680 is an equidigital number, since it uses as much as digits as its factorization.

13735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13735680 is about 3706.1678321414. The cubic root of 13735680 is about 239.4877965316.

The spelling of 13735680 in words is "thirteen million, seven hundred thirty-five thousand, six hundred eighty".